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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 334 · 40 questions
TalentJR

How to solve it (Spot the topic first): Read the question and name the topic: HCF/LCM, fractions, calendar, ratio, percentage, interest, average, equation or number theory. Use that lesson’s method; write small working on rough paper. Look at the options: rule out answers that are too big, too small or the wrong kind. Check your answer by working backwards when you can.

NameDateTime takenScore ___ / 40
  1. 1.A batter has an average of 38 runs in 5 matches. How many runs are needed in the next match to raise the average to 41? (a) 44 (b) 41 (c) 18 (d) 56
  2. 2.If 7 mangoes cost ₹147, how much do 8 mangoes cost? (a) ₹148 (b) ₹189 (c) ₹1176 (d) ₹168
  3. 3.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 70 cm (c) 17 cm (d) 34 cm
  4. 4.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 64 sq cm (d) 16 sq cm
  5. 5.What is the smallest number of sweets that can be shared equally among 10 children or among 15 children, with none left over? (a) 150 (b) 60 (c) 25 (d) 30
  6. 6.Two bells ring every 12 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 42 min (b) 360 min (c) 6 min (d) 60 min
  7. 7.Every pair follows the same rule: 7 : 26, 8 : 27, 9 : 28. What is 6 : ? (a) 25 (b) 24 (c) 26 (d) 27
  8. 8.The average of 7 numbers is 39. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 81 (b) 22 (c) 39 (d) 21
  9. 9.Which of these numbers is divisible by 4? (a) 1374 (b) 1370 (c) 1378 (d) 1372
  10. 10.If 31 May is a Wednesday, what day of the week is 20 June? (a) Wednesday (b) Tuesday (c) Monday (d) Thursday
  11. 11.Every pair follows the same rule: 1 : 1, 2 : 8, 4 : 64. What is 3 : ? (a) 36 (b) 3 (c) 27 (d) 28
  12. 12.A shopkeeper buys a toy for ₹320 and sells it for ₹384. What is his profit percent? (a) 15% (b) 25% (c) 64% (d) 20%
  13. 13.Which is the greatest: 0.026, 0.2, 0.111, 0.21? (a) 0.026 (b) 0.2 (c) 0.111 (d) 0.21
  14. 14.What is the value of the digit 2 in 92.365? (a) 2 (b) 0.02 (c) 20 (d) 0.2
  15. 15.Every pair follows the same rule: 2 : 5, 3 : 8, 7 : 20. What is 6 : ? (a) 16 (b) 17 (c) 9 (d) 18
  16. 16.What is the average of all the whole numbers from 58 to 68? (a) 10 (b) 5 (c) 63 (d) 64
  17. 17.Which of these numbers is divisible by 11? (a) 6709 (b) 6730 (c) 6710 (d) 6714
  18. 18.The simple interest on ₹1500 for 2 years is ₹120. What is the rate per year? (a) 5% (b) 4% (c) 8% (d) 3%
  19. 19.The simple interest on ₹5500 for 3 years is ₹825. What is the rate per year? (a) 4% (b) 15% (c) 5% (d) 6%
  20. 20.Every pair follows the same rule: 3 : 9, 8 : 64, 9 : 81. What is 7 : ? (a) 47 (b) 13 (c) 21 (d) 49
  21. 21.If 6 October is a Wednesday, what day of the week is 14 October? (a) Thursday (b) Saturday (c) Friday (d) Wednesday
  22. 22.In how many years will ₹2000 earn ₹120 simple interest at 3% per year? (a) 3 years (b) 2 years (c) 4 years (d) 1 year
  23. 23.8.05 + 5.5 = ? (a) 13.55 (b) 8.6 (c) 13.65 (d) 13.45
  24. 24.Every pair follows the same rule: 5 : 30, 7 : 54, 8 : 69. What is 6 : ? (a) 31 (b) 36 (c) 41 (d) 39
  25. 25.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 65 sq cm (b) 34 sq cm (c) 17 sq cm (d) 52 sq cm
  26. 26.Every pair follows the same rule: 3 : 12, 4 : 15, 8 : 27. What is 6 : ? (a) 15 (b) 24 (c) 21 (d) 22
  27. 27.What is the units digit of 7^41? (a) 9 (b) 3 (c) 7 (d) 1
  28. 28.A teacher has 10 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 1 (c) 10 (d) 25
  29. 29.If 3x + 8 = 44, what is x? (a) 36 (b) 12 (c) 11 (d) 13
  30. 30.₹3000 is invested at 10% per year simple interest. What is the amount after 4 years? (a) ₹4200 (b) ₹3300 (c) ₹1200 (d) ₹4500
  31. 31.What is the value of the digit 3 in 92.354? (a) 0.03 (b) 0.003 (c) 0.3 (d) 3
  32. 32.1/7 + 1/4 = ? (a) 3/7 (b) 2/11 (c) 5/14 (d) 11/28
  33. 33.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 19 (b) 11 (c) 10 (d) 20
  34. 34.2.63 + 3.3 = ? (a) 5.93 (b) 2.96 (c) 6.03 (d) 5.83
  35. 35.What is the average of all the whole numbers from 5 to 25? (a) 20 (b) 15 (c) 16 (d) 10
  36. 36.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 41 cm (d) 144 cm
  37. 37.In how many years will ₹7000 earn ₹3150 simple interest at 9% per year? (a) 10 years (b) 4 years (c) 6 years (d) 5 years
  38. 38.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 3 cm (c) 4 cm (d) 2 cm
  39. 39.What is the average of all the whole numbers from 28 to 60? (a) 32 (b) 45 (c) 44 (d) 16
  40. 40.What is the average of 42, 42, 33, 50 and 38? (a) 40 (b) 42 (c) 41 (d) 43

Answer key

  1. 56
  2. ₹168
  3. 34 cm
  4. 64 sq cm
  5. 30
  6. 60 min
  7. 25
  8. 21
  9. 1372
  10. Tuesday
  11. 27
  12. 20%
  13. 0.21
  14. 2
  15. 17
  16. 63
  17. 6710
  18. 4%
  19. 5%
  20. 49
  21. Thursday
  22. 2 years
  23. 13.55
  24. 41
  25. 52 sq cm
  26. 21
  27. 7
  28. 5
  29. 12
  30. ₹4200
  31. 0.3
  32. 11/28
  33. 19
  34. 5.93
  35. 15
  36. 50 cm
  37. 5 years
  38. 2 cm
  39. 44
  40. 41

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